Lieb–Robinson Bound

Even in a non-relativistic quantum lattice system, correlations cannot propagate faster than an effective "speed of light". The Lieb–Robinson bound (1972) gives ‖[A(t), B]‖ ≤ C · e^{v|t| − d(A,B)}, creating a causal light cone without any special relativity.

Coupling Strength J 1.00

Interaction Range λ 1.00

LR Velocity v_LR

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Cone slope (sites/unit t)

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‖[A(t), B]‖ ≤ C · min(1, (e · v_LR · |t| / d(A,B))^d(A,B) ) — guarantees a causal cone